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345611624424 = 2331119211326549
BaseRepresentation
bin1010000011110000000…
…11101101111111101000
31020001002021020121210020
411001320003231333220
521130303033440144
6422434412320440
733653402223243
oct5017003557750
91201067217706
10345611624424
1112363382a880
1256b94773120
132678b6786a1
1412a28b0225a
158ecbb64419
hex50780edfe8

345611624424 has 128 divisors (see below), whose sum is σ = 996891840000. Its totient is φ = 98748115200.

The previous prime is 345611624411. The next prime is 345611624453. The reversal of 345611624424 is 424426116543.

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, 895102 + ... + 1221650.

It is an arithmetic number, because the mean of its divisors is an integer number (7788217500).

Almost surely, 2345611624424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345611624424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498445920000).

345611624424 is an abundant number, since it is smaller than the sum of its proper divisors (651280215576).

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

345611624424 is a wasteful number, since it uses less digits than its factorization.

345611624424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326799 (or 326795 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The spelling of 345611624424 in words is "three hundred forty-five billion, six hundred eleven million, six hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 211 228 264 418 422 456 627 633 836 844 1254 1266 1672 1688 2321 2508 2532 4009 4642 5016 5064 6963 8018 9284 12027 13926 16036 18568 24054 27852 32072 44099 48108 55704 88198 96216 132297 176396 264594 326549 352792 529188 653098 979647 1058376 1306196 1959294 2612392 3592039 3918588 6204431 7184078 7837176 10776117 12408862 14368156 18613293 21552234 24817724 28736312 37226586 43104468 49635448 68248741 68901839 74453172 86208936 136497482 137803678 148906344 204746223 206705517 272994964 275607356 409492446 413411034 545989928 551214712 757920229 818984892 826822068 1309134941 1515840458 1637969784 1653644136 2273760687 2618269882 3031680916 3927404823 4547521374 5236539764 6063361832 7854809646 9095042748 10473079528 14400484351 15709619292 18190085496 28800968702 31419238584 43201453053 57601937404 86402906106 115203874808 172805812212 345611624424