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344411964204 = 2237211471132949
BaseRepresentation
bin1010000001100001000…
…11011000001100101100
31012220222122212120100020
411000300203120030230
521120323430323304
6422115355402140
733611564251500
oct5006043301454
91186878776306
10344411964204
11123078636350
12568baa53350
1326629c72a79
1412953660300
158e5b6945d9
hex50308d832c

344411964204 has 144 divisors (see below), whose sum is σ = 1041516403200. Its totient is φ = 87554221440.

The previous prime is 344411964187. The next prime is 344411964217. The reversal of 344411964204 is 402469114443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262479 + ... + 870470.

It is an arithmetic number, because the mean of its divisors is an integer number (7232752800).

Almost surely, 2344411964204 is an apocalyptic number.

It is an amenable number.

344411964204 is an abundant number, since it is smaller than the sum of its proper divisors (697104438996).

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

344411964204 is a wasteful number, since it uses less digits than its factorization.

344411964204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133028 (or 1133019 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 344411964204 in words is "three hundred forty-four billion, four hundred eleven million, nine hundred sixty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 49 66 77 84 94 98 132 141 147 154 188 196 231 282 294 308 329 462 517 539 564 588 658 924 987 1034 1078 1316 1551 1617 1974 2068 2156 2303 3102 3234 3619 3948 4606 6204 6468 6909 7238 9212 10857 13818 14476 21714 25333 27636 43428 50666 75999 101332 151998 303996 1132949 2265898 3398847 4531796 6797694 7930643 12462439 13595388 15861286 23791929 24924878 31722572 37387317 47583858 49849756 53248603 55514501 74774634 87237073 95167716 106497206 111029002 149549268 159745809 166543503 174474146 212994412 222058004 261711219 319491618 333087006 348948292 372740221 523422438 585734633 610659511 638983236 666174012 745480442 1046844876 1118220663 1171469266 1221319022 1490960884 1757203899 1831978533 2236441326 2342938532 2442638044 2609181547 3514407798 3663957066 4100142431 4472882652 5218363094 7028815596 7327914132 7827544641 8200284862 10436726188 12300427293 15655089282 16400569724 24600854586 28700997017 31310178564 49201709172 57401994034 86102991051 114803988068 172205982102 344411964204