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3554234040 = 2335716072633
BaseRepresentation
bin1101001111011001…
…0100111010111000
3100011200220210111210
43103312110322320
524234340442130
61344403323120
7154035330240
oct32366247270
910150823453
103554234040
1115642aa705
128323804a0
13448477c86
1425a078b20
1515c0715b0
hexd3d94eb8

3554234040 has 128 divisors (see below), whose sum is σ = 12198159360. Its totient is φ = 811582464.

The previous prime is 3554234029. The next prime is 3554234059. The reversal of 3554234040 is 404324553.

It is a super-2 number, since 2×35542340402 = 25265159222189443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3554233989 and 3554234007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348564 + ... + 1351196.

It is an arithmetic number, because the mean of its divisors is an integer number (95298120).

Almost surely, 23554234040 is an apocalyptic number.

3554234040 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 3554234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099079680).

3554234040 is an abundant number, since it is smaller than the sum of its proper divisors (8643925320).

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

3554234040 is a wasteful number, since it uses less digits than its factorization.

3554234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3554234040 is about 59617.3971253358. The cubic root of 3554234040 is about 1526.0965385958.

Adding to 3554234040 its reverse (404324553), we get a palindrome (3958558593).

The spelling of 3554234040 in words is "three billion, five hundred fifty-four million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1607 2633 3214 4821 5266 6428 7899 8035 9642 10532 11249 12856 13165 15798 16070 18431 19284 21064 22498 24105 26330 31596 32140 33747 36862 38568 39495 44996 48210 52660 55293 56245 63192 64280 67494 73724 78990 89992 92155 96420 105320 110586 112490 134988 147448 157980 168735 184310 192840 221172 224980 269976 276465 315960 337470 368620 442344 449960 552930 674940 737240 1105860 1349880 2211720 4231231 8462462 12693693 16924924 21156155 25387386 29618617 33849848 42312310 50774772 59237234 63468465 84624620 88855851 101549544 118474468 126936930 148093085 169249240 177711702 236948936 253873860 296186170 355423404 444279255 507747720 592372340 710846808 888558510 1184744680 1777117020 3554234040