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3904276320 = 253257387329
BaseRepresentation
bin1110100010110110…
…1000011101100000
3101002002120210020200
43220231220131200
530443443320240
61443230105200
7165515541540
oct35055503540
911062523220
103904276320
11172395364a
1290b64b200
134a2b47499
14290757320
1517cb67930
hexe8b68760

3904276320 has 144 divisors (see below), whose sum is σ = 15226716960. Its totient is φ = 892403712.

The previous prime is 3904276319. The next prime is 3904276331. The reversal of 3904276320 is 236724093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183585 + ... + 203744.

It is an arithmetic number, because the mean of its divisors is an integer number (105741090).

Almost surely, 23904276320 is an apocalyptic number.

3904276320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3904276320 is an abundant number, since it is smaller than the sum of its proper divisors (11322440640).

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

3904276320 is a wasteful number, since it uses less digits than its factorization.

3904276320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387357 (or 387346 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3904276320 is about 62484.2085650447. The cubic root of 3904276320 is about 1574.6360217122.

The spelling of 3904276320 in words is "three billion, nine hundred four million, two hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 387329 774658 1161987 1549316 1936645 2323974 2711303 3098632 3485961 3873290 4647948 5422606 5809935 6197264 6971922 7746580 8133909 9295896 10845212 11619870 12394528 13556515 13943844 15493160 16267818 17429805 18591792 21690424 23239740 24401727 27113030 27887688 30986320 32535636 34859610 37183584 40669545 43380848 46479480 48803454 54226060 55775376 61972640 65071272 69719220 81339090 86761696 92958960 97606908 108452120 111550752 122008635 130142544 139438440 162678180 185917920 195213816 216904240 244017270 260285088 278876880 325356360 390427632 433808480 488034540 557753760 650712720 780855264 976069080 1301425440 1952138160 3904276320