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3413699640 = 233451381047
BaseRepresentation
bin1100101101111000…
…1110110000111000
322210220110220120000
43023132032300320
523442401342030
61322423233000
7150410653041
oct31336166070
98726426500
103413699640
1114a1a4307a
127b32a8760
13425311620
142455358c8
1514ea61860
hexcb78ec38

3413699640 has 160 divisors (see below), whose sum is σ = 12356578080. Its totient is φ = 840284928.

The previous prime is 3413699623. The next prime is 3413699651. The reversal of 3413699640 is 469963143.

It is a super-2 number, since 2×34136996402 = 23306690464272259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1597 + ... + 82643.

It is an arithmetic number, because the mean of its divisors is an integer number (77228613).

Almost surely, 23413699640 is an apocalyptic number.

3413699640 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 3413699640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178289040).

3413699640 is an abundant number, since it is smaller than the sum of its proper divisors (8942878440).

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

3413699640 is a wasteful number, since it uses less digits than its factorization.

3413699640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81083 (or 81070 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3413699640 is about 58426.8742959950. The cubic root of 3413699640 is about 1505.7115048723.

The spelling of 3413699640 in words is "three billion, four hundred thirteen million, six hundred ninety-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 81047 162094 243141 324188 405235 486282 648376 729423 810470 972564 1053611 1215705 1458846 1620940 1945128 2107222 2188269 2431410 2917692 3160833 3241880 3647115 4214444 4376538 4862820 5268055 5835384 6321666 6564807 7294230 8428888 8753076 9482499 9725640 10536110 10941345 12643332 13129614 14588460 15804165 17506152 18964998 21072220 21882690 25286664 26259228 28447497 29176920 31608330 32824035 37929996 42144440 43765380 47412495 52518456 56894994 63216660 65648070 75859992 85342491 87530760 94824990 113789988 126433320 131296140 142237485 170684982 189649980 227579976 262592280 284474970 341369964 379299960 426712455 568949940 682739928 853424910 1137899880 1706849820 3413699640