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3400031013330 = 235737479310307
BaseRepresentation
bin110001011110100001101…
…001000000100111010010
3110001001002000012021201210
4301132201221000213102
5421201230414411310
611121541440240550
7500433636524010
oct61364151004722
913031060167653
103400031013330
1110a0a43960926
1246ab47610156
131b8810709513
14ba7c324d8b0
155d698c16820
hex317a1a409d2

3400031013330 has 128 divisors (see below), whose sum is σ = 9781633032192. Its totient is φ = 740057603328.

The previous prime is 3400031013329. The next prime is 3400031013359. The reversal of 3400031013330 is 333101300043.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3400031013297 and 3400031013306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4289964 + ... + 5020343.

It is an arithmetic number, because the mean of its divisors is an integer number (76419008064).

Almost surely, 23400031013330 is an apocalyptic number.

3400031013330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3400031013330 is an abundant number, since it is smaller than the sum of its proper divisors (6381602018862).

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

3400031013330 is a wasteful number, since it uses less digits than its factorization.

3400031013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310408.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3400031013330 its reverse (333101300043), we get a palindrome (3733132313373).

The spelling of 3400031013330 in words is "three trillion, four hundred billion, thirty-one million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 47 70 74 94 105 111 141 185 210 222 235 259 282 329 370 470 518 555 658 705 777 987 1110 1295 1410 1554 1645 1739 1974 2590 3290 3478 3885 4935 5217 7770 8695 9870 10434 12173 17390 24346 26085 36519 52170 60865 73038 121730 182595 365190 9310307 18620614 27930921 46551535 55861842 65172149 93103070 130344298 139654605 195516447 279309210 325860745 344481359 391032894 437584429 651721490 688962718 875168858 977582235 1033444077 1312753287 1722406795 1955164470 2066888154 2187922145 2411369513 2625506574 3063091003 3444813590 4375844290 4822739026 5167220385 6126182006 6563766435 7234108539 9189273009 10334440770 12056847565 13127532870 14468217078 15315455015 16190623873 18378546018 24113695130 30630910030 32381247746 36170542695 45946365045 48571871619 72341085390 80953119365 91892730090 97143743238 113334367111 161906238730 226668734222 242859358095 340003101333 485718716190 566671835555 680006202666 1133343671110 1700015506665 3400031013330