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34044235353400 = 23522326328140383
BaseRepresentation
bin1111011110110100010101…
…00011100000110100111000
311110112121010022000020112111
413233122022203200310320
513430240043222302100
6200223412242222104
710112420613610246
oct757321243406470
9143477108006474
1034044235353400
11a936096364428
12399a001654934
1315cc4858c37bc
14859a6d593796
153e087e4d06ba
hex1ef68a8e0d38

34044235353400 has 96 divisors (see below), whose sum is σ = 82908324956160. Its totient is φ = 12976092947840.

The previous prime is 34044235353389. The next prime is 34044235353431. The reversal of 34044235353400 is 435353244043.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12860392 + ... + 15279991.

It is an arithmetic number, because the mean of its divisors is an integer number (863628384960).

Almost surely, 234044235353400 is an apocalyptic number.

It is an amenable number.

34044235353400 is an abundant number, since it is smaller than the sum of its proper divisors (48864089602760).

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

34044235353400 is a wasteful number, since it uses less digits than its factorization.

34044235353400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28140685 (or 28140676 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 40.

Adding to 34044235353400 its reverse (435353244043), we get a palindrome (34479588597443).

The spelling of 34044235353400 in words is "thirty-four trillion, forty-four billion, two hundred thirty-five million, three hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 263 460 526 575 920 1052 1150 1315 2104 2300 2630 4600 5260 6049 6575 10520 12098 13150 24196 26300 30245 48392 52600 60490 120980 151225 241960 302450 604900 1209800 28140383 56280766 112561532 140701915 225123064 281403830 562807660 647228809 703509575 1125615320 1294457618 1407019150 2588915236 2814038300 3236144045 5177830472 5628076600 6472288090 7400920729 12944576180 14801841458 16180720225 25889152360 29603682916 32361440450 37004603645 59207365832 64722880900 74009207290 129445761800 148018414580 170221176767 185023018225 296036829160 340442353534 370046036450 680884707068 740092072900 851105883835 1361769414136 1480184145800 1702211767670 3404423535340 4255529419175 6808847070680 8511058838350 17022117676700 34044235353400