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4340372124 = 22311231211457
BaseRepresentation
bin1000000101011010…
…01101001010011100
3102012111011202020010
410002231031022130
532342113401444
61554405123220
7212362361064
oct40255151234
912174152203
104340372124
111928032900
12a116b9510
135422b653a
142d26363a4
151a60ab2b9
hex102b4d29c

4340372124 has 144 divisors (see below), whose sum is σ = 11570736128. Its totient is φ = 1264032000.

The previous prime is 4340372123. The next prime is 4340372137. The reversal of 4340372124 is 4212730434.

It is a junction number, because it is equal to n+sod(n) for n = 4340372091 and 4340372100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340372123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9497304 + ... + 9497760.

Almost surely, 24340372124 is an apocalyptic number.

4340372124 is a gapful number since it is divisible by the number (44) 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 4340372124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785368064).

4340372124 is an abundant number, since it is smaller than the sum of its proper divisors (7230364004).

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

4340372124 is a wasteful number, since it uses less digits than its factorization.

4340372124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 4340372124 is about 65881.5006204321. The cubic root of 4340372124 is about 1631.2066696965.

The spelling of 4340372124 in words is "four billion, three hundred forty million, three hundred seventy-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 211 242 341 363 372 422 457 484 633 682 726 844 914 1023 1266 1364 1371 1452 1828 2046 2321 2532 2742 3751 4092 4642 5027 5484 6541 6963 7502 9284 10054 11253 13082 13926 14167 15004 15081 19623 20108 22506 25531 26164 27852 28334 30162 39246 42501 45012 51062 55297 56668 60324 71951 76593 78492 85002 96427 102124 110594 143902 153186 155837 165891 170004 192854 215853 221188 287804 289281 306372 311674 331782 385708 431706 467511 578562 623348 663564 791461 863412 935022 1060697 1157124 1582922 1714207 1870044 2121394 2374383 2989237 3165844 3182091 3428414 4242788 4748766 5142621 5978474 6364182 6856828 8967711 9497532 10285242 11667667 11956948 12728364 17935422 20570484 23335334 32881607 35003001 35870844 46670668 65763214 70006002 98644821 131526428 140012004 197289642 361697677 394579284 723395354 1085093031 1446790708 2170186062 4340372124