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34483480 = 23517219157
BaseRepresentation
bin1000001110001…
…0110100011000
32101212221102221
42003202310120
532311432410
63231033424
7566050633
oct203426430
971787387
1034483480
1118512a49
12b66b874
1371b4935
144818c1a
1530624da
hex20e2d18

34483480 has 96 divisors (see below), whose sum is σ = 87310800. Its totient is φ = 12220416.

The previous prime is 34483469. The next prime is 34483481. The reversal of 34483480 is 8438443.

It is a super-2 number, since 2×344834802 = 2378220785820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34483481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219562 + ... + 219718.

Almost surely, 234483480 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 34483480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43655400).

34483480 is an abundant number, since it is smaller than the sum of its proper divisors (52827320).

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

34483480 is a wasteful number, since it uses less digits than its factorization.

34483480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 34483480 is about 5872.2636180608. The cubic root of 34483480 is about 325.4895344530.

The spelling of 34483480 in words is "thirty-four million, four hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 157 170 190 289 314 323 340 380 578 628 646 680 760 785 1156 1256 1292 1445 1570 1615 2312 2584 2669 2890 2983 3140 3230 5338 5491 5780 5966 6280 6460 10676 10982 11560 11932 12920 13345 14915 21352 21964 23864 26690 27455 29830 43928 45373 50711 53380 54910 59660 90746 101422 106760 109820 119320 181492 202844 219640 226865 253555 362984 405688 453730 507110 862087 907460 1014220 1724174 1814920 2028440 3448348 4310435 6896696 8620870 17241740 34483480