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34202031024 = 24371922732357
BaseRepresentation
bin11111110110100110…
…011001001110110000
310021021121011012021210
4133312212121032300
51030021204443044
623413500120120
72320362316110
oct376646311660
9107247135253
1034202031024
1113561178147
126766236040
1332c0b023a5
14192654d040
15d529aa1b9
hex7f69993b0

34202031024 has 160 divisors (see below), whose sum is σ = 106383905280. Its totient is φ = 9249693696.

The previous prime is 34202031011. The next prime is 34202031041. The reversal of 34202031024 is 42013020243.

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

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, 14509654 + ... + 14512010.

It is an arithmetic number, because the mean of its divisors is an integer number (664899408).

Almost surely, 234202031024 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 34202031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53191952640).

34202031024 is an abundant number, since it is smaller than the sum of its proper divisors (72181874256).

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

34202031024 is a wasteful number, since it uses less digits than its factorization.

34202031024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34202031024 its reverse (42013020243), we get a palindrome (76215051267).

The spelling of 34202031024 in words is "thirty-four billion, two hundred two million, thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 2273 2357 3192 4546 4714 6384 6819 7071 9092 9428 13638 14142 15911 16499 18184 18856 27276 28284 31822 32998 36368 37712 43187 44783 47733 49497 54552 56568 63644 65996 86374 89566 95466 98994 109104 113136 127288 129561 131992 134349 172748 179132 190932 197988 254576 259122 263984 268698 302309 313481 345496 358264 381864 395976 518244 537396 604618 626962 690992 716528 763728 791952 906927 940443 1036488 1074792 1209236 1253924 1813854 1880886 2072976 2149584 2418472 2507848 3627708 3761772 4836944 5015696 5357461 7255416 7523544 10714922 14510832 15047088 16072383 21429844 32144766 37502227 42859688 64289532 75004454 85719376 101791759 112506681 128579064 150008908 203583518 225013362 257158128 300017816 305375277 407167036 450026724 600035632 610750554 712542313 814334072 900053448 1221501108 1425084626 1628668144 1800106896 2137626939 2443002216 2850169252 4275253878 4886004432 5700338504 8550507756 11400677008 17101015512 34202031024