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34421753300 = 22521127333881
BaseRepresentation
bin100000000011101100…
…100100010111010100
310021211220121020120212
4200003230210113110
51030443432101200
623451345344552
72326001034614
oct400354442724
9107756536525
1034421753300
1113664200800
126807938158
1333274a357c
1419477c6a44
15d66e0d035
hex803b245d4

34421753300 has 108 divisors (see below), whose sum is σ = 82236187068. Its totient is φ = 12496704000.

The previous prime is 34421753243. The next prime is 34421753329. The reversal of 34421753300 is 335712443.

It can be written as a sum of positive squares in 6 ways, for example, as 1988624836 + 32433128464 = 44594^2 + 180092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8867360 + ... + 8871240.

Almost surely, 234421753300 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 34421753300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41118093534).

34421753300 is an abundant number, since it is smaller than the sum of its proper divisors (47814433768).

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

34421753300 is a wasteful number, since it uses less digits than its factorization.

34421753300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 34421753300 in words is "thirty-four billion, four hundred twenty-one million, seven hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 733 1100 1210 1466 2420 2932 3025 3665 3881 6050 7330 7762 8063 12100 14660 15524 16126 18325 19405 32252 36650 38810 40315 42691 73300 77620 80630 85382 88693 97025 161260 170764 177386 194050 201575 213455 354772 388100 403150 426910 443465 469601 806300 853820 886930 939202 1067275 1773860 1878404 2134550 2217325 2348005 2844773 4269100 4434650 4696010 5689546 8869300 9392020 11379092 11740025 14223865 23480050 28447730 31292503 46960100 56895460 62585006 71119325 125170012 142238650 156462515 284477300 312925030 344217533 625850060 688435066 782312575 1376870132 1564625150 1721087665 3129250300 3442175330 6884350660 8605438325 17210876650 34421753300