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34683480 = 23325137411
BaseRepresentation
bin1000010001001…
…1101001011000
32102021002210100
42010103221120
532334332410
63235215400
7600543006
oct204235130
972232710
1034683480
111863a237
12b747560
137254990
14486ba76
1530a18c0
hex2113a58

34683480 has 96 divisors (see below), whose sum is σ = 121408560. Its totient is φ = 8536320.

The previous prime is 34683479. The next prime is 34683497. The reversal of 34683480 is 8438643.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975 + ... + 8385.

Almost surely, 234683480 is an apocalyptic number.

34683480 is a gapful number since it is divisible by the number (30) 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 34683480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60704280).

34683480 is an abundant number, since it is smaller than the sum of its proper divisors (86725080).

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

34683480 is a wasteful number, since it uses less digits than its factorization.

34683480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34683480 is about 5889.2682058130. The cubic root of 34683480 is about 326.1175884036.

The spelling of 34683480 in words is "thirty-four million, six hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 7411 14822 22233 29644 37055 44466 59288 66699 74110 88932 96343 111165 133398 148220 177864 192686 222330 266796 289029 296440 333495 385372 444660 481715 533592 578058 666990 770744 867087 889320 963430 1156116 1333980 1445145 1734174 1926860 2312232 2667960 2890290 3468348 3853720 4335435 5780580 6936696 8670870 11561160 17341740 34683480