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34484364 = 22321729267
BaseRepresentation
bin1000001110001…
…1000010001100
32101212222122200
42003203002030
532311444424
63231041500
7566053335
oct203430214
971788580
1034484364
1118513682
12b670290
1371b5165
14481928c
1530628c9
hex20e308c

34484364 has 108 divisors (see below), whose sum is σ = 97015464. Its totient is φ = 10289664.

The previous prime is 34484357. The next prime is 34484413. The reversal of 34484364 is 46348443.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 514659 + ... + 514725.

Almost surely, 234484364 is an apocalyptic number.

34484364 is a gapful number since it is divisible by the number (34) 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 34484364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48507732).

34484364 is an abundant number, since it is smaller than the sum of its proper divisors (62531100).

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

34484364 is a wasteful number, since it uses less digits than its factorization.

34484364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 34484364 is about 5872.3388866788. The cubic root of 34484364 is about 325.4923157876.

The spelling of 34484364 in words is "thirty-four million, four hundred eighty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 67 68 87 102 116 134 153 174 201 204 261 268 306 348 402 493 522 603 612 804 841 986 1044 1139 1206 1479 1682 1943 1972 2278 2412 2523 2958 3364 3417 3886 4437 4556 5046 5829 5916 6834 7569 7772 8874 10092 10251 11658 13668 14297 15138 17487 17748 20502 23316 28594 30276 33031 34974 41004 42891 56347 57188 66062 69948 85782 99093 112694 128673 132124 169041 171564 198186 225388 257346 297279 338082 396372 507123 514692 594558 676164 957899 1014246 1189116 1915798 2028492 2873697 3831596 5747394 8621091 11494788 17242182 34484364