Search a number
-
+
3745068240 = 243571271811
BaseRepresentation
bin1101111100111001…
…0011010011010000
3100200000000011211010
43133032103103100
530132214140430
61415341450520
7161543361204
oct33716232320
910600004733
103745068240
111651aa2221
12886270a40
13478b73314
14277552b04
1516dbb9cb0
hexdf3934d0

3745068240 has 160 divisors (see below), whose sum is σ = 11831242752. Its totient is φ = 979776000.

The previous prime is 3745068211. The next prime is 3745068259. The reversal of 3745068240 is 428605473.

It is a happy number.

It is a super-2 number, since 2×37450682402 = 28051072244513395200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4617435 + ... + 4618245.

Almost surely, 23745068240 is an apocalyptic number.

3745068240 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 3745068240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915621376).

3745068240 is an abundant number, since it is smaller than the sum of its proper divisors (8086174512).

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

3745068240 is a wasteful number, since it uses less digits than its factorization.

3745068240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 3745068240 is about 61196.9626697273. The cubic root of 3745068240 is about 1552.9348819696.

The spelling of 3745068240 in words is "three billion, seven hundred forty-five million, sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 271 284 355 426 542 568 710 811 813 852 1065 1084 1136 1355 1420 1622 1626 1704 2130 2168 2433 2710 2840 3244 3252 3408 4055 4065 4260 4336 4866 5420 5680 6488 6504 8110 8130 8520 9732 10840 12165 12976 13008 16220 16260 17040 19241 19464 21680 24330 32440 32520 38482 38928 48660 57581 57723 64880 65040 76964 96205 97320 115162 115446 153928 172743 192410 194640 219781 230324 230892 287905 288615 307856 345486 384820 439562 460648 461784 575810 577230 659343 690972 769640 863715 879124 921296 923568 1098905 1151620 1154460 1318686 1381944 1539280 1727430 1758248 2197810 2303240 2308920 2637372 2763888 3296715 3454860 3516496 4395620 4606480 4617840 5274744 6593430 6909720 8791240 10549488 13186860 13819440 15604451 17582480 26373720 31208902 46813353 52747440 62417804 78022255 93626706 124835608 156044510 187253412 234066765 249671216 312089020 374506824 468133530 624178040 749013648 936267060 1248356080 1872534120 3745068240