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3431998020 = 22351121573011
BaseRepresentation
bin1100110010010000…
…0010001001000100
322212011220120012210
43030210002021010
524012042414040
61324315343420
7151022334063
oct31444021104
98764816183
103431998020
111501300a00
127b9451b70
1342904a379
14247b3a1da
15151478480
hexcc902244

3431998020 has 144 divisors (see below), whose sum is σ = 10633420224. Its totient is φ = 826425600.

The previous prime is 3431998019. The next prime is 3431998021. The reversal of 3431998020 is 208991343.

It is an interprime number because it is at equal distance from previous prime (3431998019) and next prime (3431998021).

It is a super-2 number, since 2×34319980202 = 23557220818567840800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3431998020.

It is not an unprimeable number, because it can be changed into a prime (3431998021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1138315 + ... + 1141325.

It is an arithmetic number, because the mean of its divisors is an integer number (73843196).

Almost surely, 23431998020 is an apocalyptic number.

3431998020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431998020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316710112).

3431998020 is an abundant number, since it is smaller than the sum of its proper divisors (7201422204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3431998020 is a wasteful number, since it uses less digits than its factorization.

3431998020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3431998020 is about 58583.2571644834. The cubic root of 3431998020 is about 1508.3970563584.

The spelling of 3431998020 in words is "three billion, four hundred thirty-one million, nine hundred ninety-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 157 165 220 242 314 330 363 471 484 605 628 660 726 785 942 1210 1452 1570 1727 1815 1884 2355 2420 3011 3140 3454 3630 4710 5181 6022 6908 7260 8635 9033 9420 10362 12044 15055 17270 18066 18997 20724 25905 30110 33121 34540 36132 37994 45165 51810 56991 60220 66242 75988 90330 94985 99363 103620 113982 132484 165605 180660 189970 198726 227964 284955 331210 364331 379940 397452 472727 496815 569910 662420 728662 945454 993630 1092993 1139820 1418181 1457324 1821655 1890908 1987260 2185986 2363635 2836362 3643310 4371972 4727270 5199997 5464965 5672724 7090905 7286620 9454540 10399994 10929930 14181810 15599991 20799988 21859860 25999985 28363620 31199982 51999970 57199967 62399964 77999955 103999940 114399934 155999910 171599901 228799868 285999835 311999820 343199802 571999670 686399604 857999505 1143999340 1715999010 3431998020