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332395020 = 223253171839
BaseRepresentation
bin10011110011111…
…111001000001100
3212011110102020200
4103303333020030
51140043120040
652552213500
711144211456
oct2363771014
9764412220
10332395020
111606a0331
129339a290
1353b30c59
14322072d6
151e2ac630
hex13cff20c

332395020 has 144 divisors (see below), whose sum is σ = 1056706560. Its totient is φ = 84470400.

The previous prime is 332395001. The next prime is 332395027. The reversal of 332395020 is 20593233.

It is a super-2 number, since 2×3323950202 = 220972898641600800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332395027) 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, 395761 + ... + 396599.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2332395020 is an apocalyptic number.

332395020 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 332395020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

332395020 is an abundant number, since it is smaller than the sum of its proper divisors (724311540).

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

332395020 is a wasteful number, since it uses less digits than its factorization.

332395020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 332395020 is about 18231.7037053590. The cubic root of 332395020 is about 692.7100728082.

The spelling of 332395020 in words is "three hundred thirty-two million, three hundred ninety-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 71 90 93 124 142 155 180 186 213 279 284 310 355 372 426 465 558 620 639 710 839 852 930 1065 1116 1278 1395 1420 1678 1860 2130 2201 2517 2556 2790 3195 3356 4195 4260 4402 5034 5580 6390 6603 7551 8390 8804 10068 11005 12585 12780 13206 15102 16780 19809 22010 25170 26009 26412 30204 33015 37755 39618 44020 50340 52018 59569 66030 75510 78027 79236 99045 104036 119138 130045 132060 151020 156054 178707 198090 234081 238276 260090 297845 312108 357414 390135 396180 468162 520180 536121 595690 714828 780270 893535 936324 1072242 1170405 1191380 1560540 1787070 1846639 2144484 2340810 2680605 3574140 3693278 4681620 5361210 5539917 7386556 9233195 10722420 11079834 16619751 18466390 22159668 27699585 33239502 36932780 55399170 66479004 83098755 110798340 166197510 332395020