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3674949120 = 29325159503
BaseRepresentation
bin1101101100001011…
…0100011000000000
3100111010001202110200
43123002310120000
530011241332440
61404354525200
7160032360243
oct33302643000
910433052420
103674949120
11161645a737
12866896800
1346749250b
1426c0dd25a
15167968c30
hexdb0b4600

3674949120 has 120 divisors (see below), whose sum is σ = 12727462176. Its totient is φ = 979980288.

The previous prime is 3674949079. The next prime is 3674949121. The reversal of 3674949120 is 219494763.

It is a happy number.

3674949120 is a `hidden beast` number, since 36 + 7 + 494 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×36749491203 (a number of 30 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (3674949121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56712 + ... + 102791.

Almost surely, 23674949120 is an apocalyptic number.

3674949120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3674949120 is an abundant number, since it is smaller than the sum of its proper divisors (9052513056).

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

3674949120 is a wasteful number, since it uses less digits than its factorization.

3674949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159532 (or 159513 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3674949120 is about 60621.3586122911. The cubic root of 3674949120 is about 1543.1818622818.

The spelling of 3674949120 in words is "three billion, six hundred seventy-four million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 159503 319006 478509 638012 797515 957018 1276024 1435527 1595030 1914036 2392545 2552048 2871054 3190060 3828072 4785090 5104096 5742108 6380120 7177635 7656144 9570180 10208192 11484216 12760240 14355270 15312288 19140360 20416384 22968432 25520480 28710540 30624576 38280720 40832768 45936864 51040960 57421080 61249152 76561440 81665536 91873728 102081920 114842160 122498304 153122880 183747456 204163840 229684320 244996608 306245760 367494912 408327680 459368640 612491520 734989824 918737280 1224983040 1837474560 3674949120