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34459950 = 2352737887
BaseRepresentation
bin1000001101110…
…1000100101110
32101211202011110
42003131010232
532310204300
63230332450
7565622220
oct203350456
971752143
1034459950
11184a72a8
12b65a126
1371a7005
144810410
15305a550
hex20dd12e

34459950 has 96 divisors (see below), whose sum is σ = 100422144. Its totient is φ = 7655040.

The previous prime is 34459903. The next prime is 34459951. The reversal of 34459950 is 5995443.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34459899 and 34459908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34459951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38407 + ... + 39293.

It is an arithmetic number, because the mean of its divisors is an integer number (1046064).

Almost surely, 234459950 is an apocalyptic number.

34459950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34459950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50211072).

34459950 is an abundant number, since it is smaller than the sum of its proper divisors (65962194).

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

34459950 is a wasteful number, since it uses less digits than its factorization.

34459950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 34459950 is about 5870.2597898219. The cubic root of 34459950 is about 325.4154843919.

The spelling of 34459950 in words is "thirty-four million, four hundred fifty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 259 350 370 518 525 555 777 887 925 1050 1110 1295 1554 1774 1850 2590 2661 2775 3885 4435 5322 5550 6209 6475 7770 8870 12418 12950 13305 18627 19425 22175 26610 31045 32819 37254 38850 44350 62090 65638 66525 93135 98457 133050 155225 164095 186270 196914 229733 310450 328190 459466 465675 492285 689199 820475 931350 984570 1148665 1378398 1640950 2297330 2461425 3445995 4922850 5743325 6891990 11486650 17229975 34459950